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Finding the Fourth Proportional to 2,052.51, 3,078.42 and 591.35

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Solution

The fourth proportional to 2,052.51, 3,078.42 and 591.35 is: 886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.51 : 3,078.42 = 591.35 : x
  2. Step 2: Convert to fraction form
    2,052.51/3,078.42 = 591.35/x
  3. Step 3: Cross multiply
    2,052.51x = 3,078.42 × 591.35
  4. Step 4: Simplify right side
    2,052.51x = 1,820,408.27
  5. Step 5: Solve for x
    x = 1,820,408.27/2,052.51
  6. Step 6: Final answer
    x = 886.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.